Kwong MK: The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE. Electronic Journal of Qualitative Theory of Differential Equations 2006,2006(6):1–14.
Google Scholar
Krasnosel'skiĭ MA: Positive Solutions of Operator Equations. P. Noordhoff, Groningen, The Netherlands; 1964:381.
Google Scholar
Baxley JV, Haywood LJ: Nonlinear boundary value problems with multiple solutions. Nonlinear Analysis: Theory, Methods & Applications 2001,47(2):1187–1198. 10.1016/S0362-546X(01)00257-7
Article
MATH
MathSciNet
Google Scholar
Il'in VA, Moiseev EL: Nonlocal boundary-value problem of the first kind for a Sturm-Liouville operator in its differential and finite difference aspects. Journal of Differential Equations 1987,23(7):803–810.
MATH
MathSciNet
Google Scholar
Il'in VA, Moiseev EL: Nonlocal boundary value problem of the second kind for a Sturm-Liouville operator. Journal of Differential Equations 1987, 23: 979–987.
MATH
Google Scholar
Gupta CP: Solvability of a three-point nonlinear boundary value problem for a second order ordinary differential equation. Journal of Mathematical Analysis and Applications 1992,168(2):540–551. 10.1016/0022-247X(92)90179-H
Article
MATH
MathSciNet
Google Scholar
Gupta CP: A note on a second order three-point boundary value problem. Journal of Mathematical Analysis and Applications 1994,186(1):277–281. 10.1006/jmaa.1994.1299
Article
MATH
MathSciNet
Google Scholar
Marano SA: A remark on a second-order three-point boundary value problem. Journal of Mathematical Analysis and Applications 1994,183(3):518–522. 10.1006/jmaa.1994.1158
Article
MATH
MathSciNet
Google Scholar
Constantin A: On a two-point boundary value problem. Journal of Mathematical Analysis and Applications 1995,193(1):318–328. 10.1006/jmaa.1995.1238
Article
MATH
MathSciNet
Google Scholar
Avery R: Existence of multiple positive solutions to a conjugate boundary value problem. Mathematical Sciences Research Hot-Line 1998,2(1):1–6.
MATH
MathSciNet
Google Scholar
Henderson J, Thompson HB: Multiple symmetric positive solutions for a second order boundary value problem. Proceedings of the American Mathematical Society 2000,128(8):2373–2379. 10.1090/S0002-9939-00-05644-6
Article
MATH
MathSciNet
Google Scholar
Ma R: Positive solutions for a nonlinear three-point boundary-value problem. Electronic Journal of Differential Equations 1999,1999(34):1–8.
Google Scholar
Sun W, Chen S, Zhang Q, Wang C: Existence of positive solutions to-point nonhomogeneous boundary value problem. Journal of Mathematical Analysis and Applications 2007,330(1):612–621. 10.1016/j.jmaa.2006.08.022
Article
MATH
MathSciNet
Google Scholar
Ma R: Existence theorems for a second order three-point boundary value problem. Journal of Mathematical Analysis and Applications 1997,212(2):430–442. 10.1006/jmaa.1997.5515
Article
MATH
MathSciNet
Google Scholar
Coffman CV, Wong JSW: Oscillation and nonoscillation of solutions of generalized Emden-Fowler equations. Transactions of the American Mathematical Society 1972, 167: 399–434.
Article
MATH
MathSciNet
Google Scholar
Raffoul YN: Positive solutions of three-point nonlinear second order boundary value problem. Electronic Journal of Qualitative Theory of Differential Equations 2002,2002(5):1–11.
Article
Google Scholar
Liu B: Positive solutions of a nonlinear three-point boundary value problem. Computers & Mathematics with Applications 2002,44(1–2):201–211. 10.1016/S0898-1221(02)00141-4
Article
MATH
MathSciNet
Google Scholar
Liu B: Positive solutions of a nonlinear three-point boundary value problem. Applied Mathematics and Computation 2002,132(1):11–28. 10.1016/S0096-3003(02)00341-7
Article
MATH
MathSciNet
Google Scholar
Guo D, Lakshmikantham V: Nonlinear Problems in Abstract Cones, Notes and Reports in Mathematics in Science and Engineering. Volume 5. Academic Press, Boston, Mass, USA; 1988:viii+275.
Google Scholar
Ma R: Existence theorems for a second order-point boundary value problem. Journal of Mathematical Analysis and Applications 1997,211(2):545–555. 10.1006/jmaa.1997.5416
Article
MATH
MathSciNet
Google Scholar
Mawhin J: Topological Degree Methods in Nonlinear Boundary Value Problems, CBMS Regional Conference Series in Mathematics. Volume 40. American Mathematical Society, Providence, RI, USA; 1979:v+122.
Google Scholar
Mawhin J: Topological degree and boundary value problems for nonlinear differential equations. In Topological Methods for Ordinary Differential Equations, Lecture Notes in Mathematics. Volume 1537. Edited by: Furi M, Zecca P. Springer, Berlin, Germany; 1993:74–142. 10.1007/BFb0085076
Chapter
Google Scholar
Gupta CP, Ntouyas SK, Tsamatos PCh: Existence results for-point boundary value problems. Differential Equations and Dynamical Systems 1994,2(4):289–298.
MATH
MathSciNet
Google Scholar
Gupta CP, Ntouyas SK, Tsamatos PCh: On an-point boundary-value problem for second-order ordinary differential equations. Nonlinear Analysis: Theory, Methods & Applications 1994,23(11):1427–1436. 10.1016/0362-546X(94)90137-6
Article
MATH
MathSciNet
Google Scholar
Gupta CP, Trofimchuk SI: Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator. Nonlinear Analysis: Theory, Methods & Applications 1998,34(4):489–507. 10.1016/S0362-546X(97)00584-1
Article
MATH
MathSciNet
Google Scholar
Guo YP, Shan WR, Ge WG: Positive solutions for second-order-point boundary value problems. Journal of Computational and Applied Mathematics 2003,151(2):415–424. 10.1016/S0377-0427(02)00739-2
Article
MATH
MathSciNet
Google Scholar
Gupta CP, Trofimchuk SI: A sharper condition for the solvability of a three-point second order boundary value problem. Journal of Mathematical Analysis and Applications 1997,205(2):586–597. 10.1006/jmaa.1997.5252
Article
MATH
MathSciNet
Google Scholar
Gupta CP: A generalized multi-point boundary value problem for second order ordinary differential equations. Applied Mathematics and Computation 1998,89(1–3):133–146.
Article
MATH
MathSciNet
Google Scholar
Feng W, Webb JRL: Solvability of three point boundary value problems at resonance. Nonlinear Analysis: Theory, Methods & Applications 1997,30(6):3227–3238. 10.1016/S0362-546X(96)00118-6
Article
MATH
MathSciNet
Google Scholar
Feng W, Webb JRL: Solvability of-point boundary value problems with nonlinear growth. Journal of Mathematical Analysis and Applications 1997,212(2):467–480. 10.1006/jmaa.1997.5520
Article
MATH
MathSciNet
Google Scholar
Feng W: On an-point boundary value problem. Nonlinear Analysis: Theory, Methods & Applications 1997,30(8):5369–5374. 10.1016/S0362-546X(97)00360-X
Article
MATH
MathSciNet
Google Scholar
Cheung W-S, Ren J: Twin positive solutions for quasi-linear multi-point boundary value problems. Nonlinear Analysis: Theory, Methods & Applications 2005,62(1):167–177. 10.1016/j.na.2005.03.018
Article
MATH
MathSciNet
Google Scholar
Naito Y, Tanaka S: On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations. Nonlinear Analysis: Theory, Methods & Applications 2004,56(6):919–935. 10.1016/j.na.2003.10.020
Article
MATH
MathSciNet
Google Scholar
Kong Q: Existence and nonexistence of solutions of second-order nonlinear boundary value problems. Nonlinear Analysis: Theory, Methods & Applications 2007,66(11):2635–2651. 10.1016/j.na.2006.03.045
Article
MATH
MathSciNet
Google Scholar